Least Common Multiple of 8217/528, 6893/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8217/528, 6893/894 quickly i.e. 56639781/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8217/528, 6893/894 is 56639781/6.

LCM(8217/528, 6893/894) = 56639781/6

LCM of 8217/528, 6893/894

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8217/528,6893/894

Given numbers are 8217/528,6893/894

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8217,6893

Least Common Multiple of Numerators i.e. LCM of 8217,6893 is 56639781.

GCF of Denominators means GCF of 528,894 as per the given fractions.

GCF of 528,894 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8217,6893

LCM of Fractions 8217/528,6893/894 is 56639781/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 56639781

Least Common Multiple of 8217,6893 with GCF Formula

Least Common Multiple of 8217,6893 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8217,6893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8217,6893) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(8217,6893) x common factors =1 x 1 = 1

LCM(8217,6893) = ( 8217 × 6893 ) / 1

LCM(8217,6893) = 56639781 / 1

LCM(8217,6893) = 56639781


Lets's calculate GCF of 528,894

2 528, 894
3 264, 447
88, 149

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56639781/6

Therefore the LCM of Fractions 8217/528,6893/894 is 56639781/6

Greatest Common Factor of 528,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,894 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 528,894 . The biggest common factor number is the GCF number.
So the greatest common factor 528,894 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8217/528, 6893/894

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8217/528, 6893/894?

Answer: LCM of Numerators as per given numbers 8217/528, 6893/894 is

LCM of Numerators i.e. for 8217,6893 is 56639781

GCF of denominators i.e. for 528,894 is 6.

Thus, LCM of Fractions is 56639781/6.Finally, LCM of Fractions for 8217/528, 6893/894 is 56639781/6.